Abstract: A special equation is constructed based on large integer factoring problem (LIFP) and a parameter is introduced to transfer service private-key. The session key can be obtained by using the special equation and the service private-key in decryption. On the basis of the above, a multi-service oriented traitor tracing scheme on LIFP is proposed. It has many advantages such as multi-service, black-box traitor tracing, ciphertexts of constant size, adding or revoking users, and forward and backward security. Its whole capabilities are also better than the existing ones.